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" If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. "
Elements of Geometry and Trigonometry: With Notes - Σελίδα 11
των Adrien Marie Legendre - 1828 - 316 σελίδες
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Τόμος 5

William Nicholson - 1809
...19.) The greater angle of every triangle has the greater side opposite to it. S. (Prop. 4.) If two triangles have two sides of the one respectively equal to two sides of the other, and have the included angles equal, the oilier angles will be respectively equal, ««. those to which...

The Modern Preceptor Or a General Course of Education: Containing ..., Τόμος 1

John Dougall - 1810 - 580 σελίδες
...remaining side AC to the remaining side DF. 1st Corollary. From this proposition it follows that, if two triangles have two sides of the one respectively equal to two sides of the other, but the angle formed by these two sides in the one greater than the corresponding angle in the other,...

The Elements of geometry [Euclid book 1-3] in general terms, with ..., Μέρος 3

Euclides - 1821
...greater, is hilly explained in the notes of Dr. Elrington's Euclid, page, 150. PROP. 25. THEOR. ( If two triangles have two sides of the one respectively equal to two sides of the other, and if the third aids of the one be greater than the third side of the other, the angle opposite the greater...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 9

William Nicholson - 1821
...19.) The greater angle of every triangle has the greater side opposite to it. 3. (Prop. 4.) If two triangles have two sides of the one respectively equal to two sides of the other, and have the included angles equal, the other angles will be respectively equal, viz. those to which the...

An Elementary Treatise on the Application of Trigonometry: To Orthographic ...

John Farrar - 1822 - 153 σελίδες
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle with...

An Elementary Treatise on the Application of Trigonometry to Orthographic ...

John Farrar - 1822 - 153 σελίδες
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle with...

The First Six Books with Notes

Euclid - 1822 - 179 σελίδες
...equal sides DF and EA are equal (2). Fi.I. 38 SeaN. PROP. XXIV. THEOR. If two triangles (EFD, BAC) have two sides of the one respectively equal to two sides of th^other, ( FE to AB, and FB to AC), and if one of the angles (BAC) contained by the equal sides be...

Elements of arithmetic, algebra and geometry

George Lees - 1826 - 207 σελίδες
...EF, the base BC is greater also than the base EF. Wherefore, if two triangles, &c. QE I). Cor. If two triangles have two sides of the one respectively, equal to two sides of the other, but the base of the one greater than the base of the other, the angle contained by the two sides of...

The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 324 σελίδες
...eighteenth and nineteenth are to the fifth and sixth. The four might be announced together thus : If two triangles have two sides of the one respectively equal to two sides of the other, the remaining side of the one will be greater or less than, or equal to the remaining side of the other,...

An Elementary Treatise on the Application of Trigonomentry to Orthographic ...

John Farrar - 1833 - 155 σελίδες
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently m Sm' = mEm'. Therefore, since these tangents make the same angle with...




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